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Low-Rank Similarity Mining for Multimodal Dataset Distillation
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Proposes LoRS, which distills a learnable low-rank ground-truth image-text similarity matrix alongside synthetic image-text pairs (built on TESLA/MTT) to improve multimodal contrastive dataset distillation on Flickr30k and COCO.
Problem
Dataset distillation for image-text contrastive learning data is hard because such pairs lack categories and have high batch variance, and existing methods fix the image-text correspondence to identity.
Approach
Jointly learn a ground-truth similarity matrix for synthetic image-text pairs, parameterized as a diagonal plus a low-rank residual (omega*I + alpha/r * L R^T) to keep storage linear, and train contrastive models with continuous losses (weighted BCE or extended InfoNCE) that use this matrix.
Key results
- On Flickr30k with 100 synthetic pairs, LoRS wBCE reaches IR@1 8.3 and TR@10 49.2, versus 4.7 and 39.1 for MTT-VL at 100 pairs.
- At 200 pairs on Flickr30k, LoRS wBCE achieves IR@1 8.6 and TR@10 53.4 (MTT-VL: 4.6 and 41.9), with the paper reporting up to ~50% relative improvement.
- Storage overhead of the similarity matrix is reported as about 0.3% memory and 0.8% training time.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add similarity mining with LoRS and weighted BCE instead of the MTT-VL baseline | Image-text dataset distillation · Flickr30k, 200 pairs | IR@1: 4.6$\pm$0.9 -> 8.6$\pm$0.3 | Helped |
| Add similarity mining with LoRS and weighted BCE instead of the MTT-VL baseline | Image-text dataset distillation · COCO, 200 pairs | IR@1: 1.7$\pm$0.1 -> 2.4$\pm$0.1 | Helped |
| Use weighted BCE rather than BCE for the similarity-mining loss (ablation) | Similarity mining · Flickr30k, 200 pairs | IR@1: 0.6 -> 7.4 | Helped |
| Use weighted BCE rather than eNCE for the similarity-mining loss (ablation) | Similarity mining · Flickr30k, 200 pairs | IR@1: 4.1 -> 7.4 | Helped |
| Use weighted BCE rather than BCE for the LoRS loss (ablation) | LoRS · Flickr30k, 200 pairs | IR@1: 0.1 -> 8.6 | Helped |
| Use weighted BCE rather than eNCE for the LoRS loss (ablation) | LoRS · Flickr30k, 200 pairs | IR@1: 8.2 -> 8.6 | Helped |
| Vary low-rank residual rank from 5 to 1 (ablation) | LoRS_wBCE · Flickr30k, 200 pairs | IR@1: 8.6 -> 7.2 | Hurt |
| Vary low-rank residual rank from 5 to 10 (ablation) | LoRS_wBCE · Flickr30k, 200 pairs | IR@1: 8.6 -> 7.8 | Hurt |
| Vary low-rank residual rank from 5 to 20 (ablation) | LoRS_wBCE · Flickr30k, 200 pairs | IR@1: 8.6 -> 7.9 | Hurt |
| Add low-rank components L and R (ablation) | LoRS_wBCE · Flickr30k, 200 pairs | IR@1: 7.4 -> 8.6 | Helped |
| Add low-rank components L and R and diagonal weights ω (ablation) | LoRS_wBCE · Flickr30k, 200 pairs | IR@1: 0.2 -> 8.6 | Helped |
| Learn synthetic images rather than fixing them during distillation (ablation) | LoRS_wBCE · Flickr30k, 200 pairs | IR@1: 4.9 -> 8.6 | Helped |
Surprising findings
- Learning only the similarity matrix with frozen image and text (no image or text learning) still performs above a random model on Flickr30k.
- Computing the similarity matrix from a pretrained CLIP instead of learning it yields poor retrieval, indicating distilled data need not be natural-looking.
Limitations
- Only the text embedding is distilled; direct distillation of text tokens is not yet feasible.
- The similarity matrix adds storage, and the rank choice trades storage against performance.
- The contrastive loss must be redesigned (wBCE or eNCE) to use the learned continuous similarity.
Experimental setup
Datasets: Flickr30k COCO
Benchmarks: Flickr30k COCO
Metrics: IR@1 IR@5 IR@10 TR@1 TR@5 TR@10
Baselines: Random coreset Herding K-center Forgetting MTT-VL TESLA_wBCE DC DM
Builds on: TESLA MTT CLIP InfoNCE
Closest papers by meaning
- Efficient Multimodal Dataset Distillation via Generative Models (NeurIPS 2025 · similarity 0.88)
- CovMatch: Cross-Covariance Guided Multimodal Dataset Distillation with Trainable Text Encoder (NeurIPS 2025 · similarity 0.87)
- Img-Diff: Contrastive Data Synthesis for Multimodal Large Language Models (CVPR 2025 · similarity 0.85)
- DivPrune: Diversity-based Visual Token Pruning for Large Multimodal Models (CVPR 2025 · similarity 0.85)
- CoMM: A Coherent Interleaved Image-Text Dataset for Multimodal Understanding and Generation (CVPR 2025 · similarity 0.85)
- Enhancing Multimodal Large Language Models Complex Reason via Similarity Computation (AAAI 2025 · similarity 0.85)
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